%0 Journal Article
%T On the GIT quotient of quintic surfaces
%A Patricio Gallardo
%J Mathematics
%D 2013
%I arXiv
%X We describe the GIT compactification for the moduli space of smooth quintic surfaces in projective space. In particular, we show that a normal quintic surface with at worst an isolated double point or a minimal elliptic singularity is stable. We also describe the boundary of the GIT quotient, and we discuss the stability of the nonnormal surfaces.
%U http://arxiv.org/abs/1310.3534v2